kendraelizabeth09
Answered

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Given that f(x) = 3x + 1 and g(x)=x2 - 2x-6, find (gof)(5).

Sagot :

josephine4274

Answer:

(gof)(5)=1246

Step-by-step explanation:

first lets find for (gof)

(gof)=g(f(x))

=x(3x+1)^2-2(3x+1)-6

=x(9x^2+6x+1)-6x+2-6

=9x^3+6x^2+x-6x-4

=9x^3+6x^2-5x-4

now let's find for (gof)(5)

we know(gof)=9x3+6x2-5x-4

so (gof)(5)=9(5)^3+6(5)^2-5(5)-4

=9(125)+6(25)-25-4

=1125+150-29

(gof)(5)=1246

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